She leans into Alcumus Practice like a sparring partner she intends to outwork; daily mixed-problem drills sharpened her speed and accuracy. Her Pythagorean fluency is striking: when presented with a hypotenuse she confidently 'dismissed 5 for a leg,' squared the values, subtracted, and solved the missing side with clean arithmetic. Diagrams are neat and purposeful — quick sketches with labeled vertices and units that make reasoning effortless. I pressed for fuller written justifications and more consistent units, and she complied: she explained each algebraic step aloud, framed the subtraction under the square, and annotated the figure. Her verbal reasoning transfers across problem types; she narrates strategies, anticipates traps, and self-corrects arithmetic slips. Expect continued growth if she adopts two modest habits: always record units and write one sentence of justification per solution. With those tweaks her proof-writing will match her speed. She shows secure conceptual grasp, demonstrable fluency, and the coachable temperament I demand. Keep the Alcumus streak, maintain precise entries, and excellence will follow — no excuses, only progress. I will continue to assign targeted Alcumus sets, occasional timed challenges, and brief oral explanations to strengthen verbal articulation; regular review of labeled diagrams will cement visualization and proof-writing habits and excellence.